John Howard 254

This research explores the property of constant vector curvature on model spaces with curvature tensors constructed from skew-adjoint and self-adjoint linear transformations. Constant vector curvature has been studied for general curvature tensors in the past, but only in the 3-dimensional case. For this reason we look at these specific cases to try to generalize results in higher dimensions. We determine the constant vector curvature for all tensors constructed from skew-adjoint linear transformations, some cases of tensors constructed from self-adjoint linear transformations, and we find some general results about constant vector curvature.

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